Consider F and C below. F(x, y, z) = yzi+xzj + (xy + 18z) k C is the line segment from (1, 0, -3) to (4, 6, 2) (a) Find a function f such that F = Vf. f(x, y, z)= (b) Use part (a) to evaluate Vf. dr along the given curve C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Consider F and C below.
F(x, y, z)=yzi + xzj + (xy + 18z) k
C is the line segment from (1, 0, -3) to (4, 6, 2)
(a) Find a function f such that F = Vf.
f(x, y, z) =
(b) Use part (a) to evaluate
Ja
Vf. dr along the given curve C.
Transcribed Image Text:Consider F and C below. F(x, y, z)=yzi + xzj + (xy + 18z) k C is the line segment from (1, 0, -3) to (4, 6, 2) (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate Ja Vf. dr along the given curve C.
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